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3 years ago

5(2x - 5) + 10x = 75

Mathematics

1 answer:

serg [7]3 years ago

7 0

Answer:

x = 5

Step-by-step explanation:

5(2x-5) +10x = 75

10x -25 +10x = 75

20x - 25 = 75

20x = 100

x = 5

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I had fell asleep but this for the nikkas det wanted to see what i look like <3

exis [7]

Answer:

yes

Step-by-step explanation:

5 0

3 years ago

What is the set fee, or initial value, of this function

Ber [7]

Answer:
The set fee would be $15

Explanation:
The set fee is the starting value. This means that it is the value of the y at x = 0 (y-intercept).

To get the set fee, we would first need to get the equation of the line.

Equation of the linear line has the following general formula:
y = mx + c
where m is the slope and c is the y-intercept

1- getting the slope:
we are given two points which are:
(20,25) and (50,40)
the slope = $\frac{y2-y1}{x2-x1}= \frac{40-25}{50-20} = 0.5$

The equation now is:
y = 0.5x + c

2- getting the value of the y-intercept:
To get the value of the c, we will use any of the given points, substitute in the equation and solve for c.
I will choose the point (20,25)
y = 0.5x + c
25 = 0.5(20) + c
25 = 10 + c
c = 15

The equation of the line representing the scenario is:
y = 0.5x + 15

Now, we know that the value of the c is the y-intercept which is the initial value of the function at x=0.
In our situation, this represents the set fee.

Hope this helps :)

6 0

3 years ago

Warm-Up

Serjik [45]

Answer:

using the formula

we replace the coordinates

the we calculate

the answer will be square 100 which will give us 10

5 0

2 years ago

Can you please explain how to write the ratios for sin x and cos x? When angles are x, y, and z. The hypotenuse being 12 and is

Kamila [148]

Your triangle has acute angles X and Y, and right angle Z.

For an acute angle A in a right triangle:

The sine is the ratio of the opposite leg to the hypotenuse.
sin A = opp/hyp

The cosine is the ratio of the adjacent leg to the hypotenuse.
cos A = adj/opp

The hypotenuse of a right triangle is the side opposite the right angle. It is the longest side of a right triangle. There is only one hypotenuse in a triangle, so there is no confusion with the hypotenuse.

The two sides that form the right angle are called the legs. Each leg is opposite an acute angle. The legs may or may not be congruent to each other, but each leg is always shorter than the hypotenuse. Since there are two legs, we need to be able to distinguish them. If you take an acute angle as your angle of interest, the leg that is part of the angle is called the adjacent leg. The other leg is the opposite leg. Adjacent leg and opposite leg are relative terms. They depend on the acute angle you are considering.

For your triangle, if you look at angle X, then the adjacent leg is side XZ. The opposite leg for angle X is side YZ.

Using the ratios mentioned above for sine and cosine, you get:

sin X = opp/hyp = sqrt(119)/12

cos X = adj/hyp = 5/12

7 0

3 years ago

An online video streaming service offers two different plans for unlimited streaming, Plan A has a one-time $25

skelet666 [1.2K]

Answer:

In 6 months (at the fifth month they are equal in price)

Step-by-step explanation:

Set the month as x.

Plan A's equation: 8x + 25

Plan B's equation: 12x + 5

8x + 25 < 12x + 5

Solve.

-4x < -20

x > 5

In 6 months (at the fifth month they are equal in price)

7 0

2 years ago